What was the total mileage of the bee

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Question: Two bicyclists travel at a uniform speed of 10 km/h toward each other. At the moment when they are 20 km apart, a bumble bee flies from the front wheel of one of the bikes at a uniform speed of 25 km/h directly to the wheel of the other bike. It touches it and turns around in a negligibly short time and returns at the same speed to the first bike, whereupon it touches the wheel and instantaneously turns around and repeats the back-and-forth trip over and over again - successive trips becoming shorter and shorter until the bikes collide and squash the unfortunate bee between the front wheels. What was the total mileage of the bee in its many back-and-forth trips from the time the bikes were 20 km apart until its hapless end? (This can be very simple or very difficult, depending on your approach.) Why?

Reference no: EM133533505

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